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121101001020 = 22335224261113
BaseRepresentation
bin111000011001000101…
…1101010000100111100
3102120120201220020222000
41300302023222010330
53441003324013040
6131344422422300
711514665344626
oct1606213520474
9376521806860
10121101001020
11473a43a351a
121b578591990
13b55c32886c
145c0b665c16
15323b988130
hex1c322ea13c

121101001020 has 48 divisors (see below), whose sum is σ = 376758671520. Its totient is φ = 32293600128.

The previous prime is 121101000983. The next prime is 121101001031. The reversal of 121101001020 is 20100101121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121101000993 and 121101001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112130017 + ... + 112131096.

It is an arithmetic number, because the mean of its divisors is an integer number (7849138990).

Almost surely, 2121101001020 is an apocalyptic number.

121101001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101001020 is an abundant number, since it is smaller than the sum of its proper divisors (255657670500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121101001020 is a wasteful number, since it uses less digits than its factorization.

121101001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224261131 (or 224261123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121101001020 its reverse (20100101121), we get a palindrome (141201102141).

The spelling of 121101001020 in words is "one hundred twenty-one billion, one hundred one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 224261113 448522226 672783339 897044452 1121305565 1345566678 2018350017 2242611130 2691133356 3363916695 4036700034 4485222260 6055050051 6727833390 8073400068 10091750085 12110100102 13455666780 20183500170 24220200204 30275250255 40367000340 60550500510 121101001020